共查询到19条相似文献,搜索用时 187 毫秒
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首先介绍了由Young函数生成的Orlicz空间L_Φ~*[0,∞),然后利用归纳假设和分解方法证明了r阶加权光滑模与加权K-泛函的等价性,最后作为光滑模的应用给出了Gamma算子在L_Φ~*[0,∞)空间内加权同时逼近的B-型强逆不等式. 相似文献
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多元Bernstein-Durrmeyer算子Lp逼近的Steckin-Marchaud型不等式 总被引:2,自引:0,他引:2
本文给出多元Bernstein-Durrmeyer算子Lp逼近的Steckin-Marchaud型不等式,从该不等式得到多元Bernstein-Durrmeyer算子Lp逼近的特征刻划定理. 相似文献
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本文研究了lbragimov-Gadjiev-Durrmeyer算子在Orlicz空间内的逼近问题.借助了Jensen不等式,H?lder不等式,K泛函,光滑模等工具,获得了lbragimov-Gadjiev-Durrmeyer算子在Orlicz空间内的逼近度,以及该算子的加权逼近,推广了lbragimov-Gadjiev-Durrmeyer算子在Lp空间中的逼近度及加权逼近. 相似文献
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单纯形上加权K—泛函与光滑模的等价性及其应用 总被引:1,自引:1,他引:0
本文首先讨论了高维单纯形上一类加权K-泛函与光滑模的等价性。然后作为应用,给出了高维单纯形上多元Bernstein算子加权逼近的特征刻划。 相似文献
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本文研究一类多元Gauss-Weierstrass算子的线性组合加Jacobi型权逼近的性质,利用加权矩量不等式及加权K-泛函、光滑模等工具,建立了这类算子在Lp(1≤p≤∞)空间的正、逆定理和逼近阶的特征刻划. 相似文献
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本文介绍了由Young函数生成的Orlicz空间L_Φ~*[0,∞),然后建立了修正的加权K-泛函与加权光滑模的等价定理,并利用它得到了加Jacobi权的Szász-Kantorovich-Bézier算子在Orlicz空间中逼近的正、逆和等价定理. 相似文献
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In this paper we will introduce a hyperbolic kind of modulus on the space of multivariate functions of bounded variation and discuss the fundamental properties of the smoothness spaces induced by it. The results obtained, here, can be used to analyze the approximation properties of so-called hyperbolic Lebesgue-Stieltjes convolution operators. 相似文献
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Multivariate Differences, Polynomials, and Splines 总被引:1,自引:0,他引:1
Thomas Kunkle 《Journal of Approximation Theory》1996,84(3):290-314
We generalize the univariate divided difference to a multivariate setting by considering linear combinations of point evaluations that annihilate the null space of certain differential operators. The relationship between such a linear functional and polynomial interpolation resembles that between the divided difference and Lagrange interpolation. Applying the functional to the shifted multivariate truncated power produces a compactly supported spline by which the functional can be represented as an integral. Examples include, but are not limited to, the tensor product B-spline and the box spline. 相似文献
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Fatma Taşdelen Ali Olgun Gülen Başcanbaz-Tunca 《Proceedings Mathematical Sciences》2007,117(3):387-399
We introduce certain linear positive operators and study some approximation properties of these operators in the space of
functions, continuous on a compact set, of two variables. We also find the order of this approximation by using modulus of
continuity. Moreover we define an rth order generalization of these operators and observe its approximation properties. Furthermore, we study the convergence
of the linear positive operators in a weighted space of functions of two variables and find the rate of this convergence using
weighted modulus of continuity. 相似文献
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本文研究积分双半群与有界线性算子双半群的关系,证明了Banach空间X上的指数有界积分双半群可以作为X的某个子空间上具有较强范数拓扑下的有界线性算了强连续双半 积分双半群也可作为较大空间上俱有较弱范数拓扑下的有界线性算子强连续双半群积分的限制,上述结果可以用来解释抽象边值问题的弱解的意义。 相似文献
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Oscar Blasco Alexey Karapetyants Joel Restrepo 《Mathematical Methods in the Applied Sciences》2020,43(17):10005-10026
We study boundedness and compactness of composition operators in the generalized Hölder-type space of holomorphic functions in the unit disc with prescribed modulus of continuity. We also devote a significant part of the article to outline some embeddings between such Hölder-type spaces, to discuss properties of modulus of continuity and to construct some useful examples. 相似文献
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Mehmet Ali Özarslan 《Results in Mathematics》2016,69(3-4):327-343
In this paper, we introduce a certain class of linear positive operators via a generating function, which includes the non-tensor MKZ operators and their non-trivial extension. In investigating the approximation properties, we prove a new Korovkin type approximation theorem by using appropriate test functions. We compute the rate of convergence of these operators by means of the modulus of continuity and the elements of modified Lipschitz class functions. Furthermore, we give functional partial differential equations for this class. Using the corresponding equations, we calculate the first few moments of the non-tensor MKZ operators and investigate their approximation properties. Finally, we state the multivariate versions of the results and obtain the convergence properties of the multivariate Meyer–König and Zeller operators. 相似文献
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We show that every biorthogonal wavelet determines a representation by operators on Hilbert space satisfying simple identities, which captures the established relationship between orthogonal wavelets and Cuntz-algebra representations in that special case. Each of these representations is shown to have tractable finite-dimensional co-invariant doubly cyclic subspaces. Further, motivated by these representations, we introduce a general Fock-space Hilbert space construction which yields creation operators containing the Cuntz-Toeplitz isometries as a special case. 相似文献